Download Trig Bell Work parts 1 and 2

Name:
Trigonometry Basics
Part I: Angles
1.
Define sine, cosine, and tangent based on a circle of radius r centered at the origin and any
point on the circle (x,y). Make a diagram to support your definition.
2.
Convert from degrees to radians.
a.
120
b.
45
c.
d.
-450
3.
720
Convert from radians to degrees.

a.
-/6
b.
2 radians
c.
9
4
d.


2
3
4.
Sketch the angle in standard position, then find, sketch, and label one positive and one
negative coterminal angle.
11
a.
120
b.

6

5.
Sketch a central angle in a circle that would be about 2 radians. Use the definition of radian
measurement of angles to explain how the arc length and radius in your sketch should be
related.
6.
Find an expression in terms on an integer, n. representing all angles coterminal with
a.
7.
56.2°
b.
7
12

State whether each expression is positive or negative.
5
a.
sin163
b.
cos
7
Name the quadrant described.
a.
sin t  0, cos t  0
tan 200
c.
sin t  0, tan  0


8.
c.
b.
tan t  0, cost  0

Part II: Evaluating Trigonometry Functions
1.
Fill in the chart with the values of
the trig functions (1pt each)
30
45
2.
Sketch the unit circle and label the
coordinates of the points corresponding
to quadrantal angles. (3 pts)
60
sin 
cos
3.
4.
Evaluate the following (2pts each)
a.
sin120
b.
cos135
c.
tan210
d.
cos300
e.
sin315
f.
tan330
Evaluate the following
a.
sin(-/6)
b.
cos90
c.
 5 
tan 

 4 
d.
sin690
e.
tan(-270)
f.
 2 
tan 

 3 